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CIE
2010
Springer
12 years 12 months ago
Lower Bounds for Reducibility to the Kolmogorov Random Strings
Abstract. We show the following results for polynomial-time reducibility to RC , the set of Kolmogorov random strings.
John M. Hitchcock
CORR
2011
Springer
147views Education» more  CORR 2011»
12 years 12 months ago
Symmetry of information and bounds on nonuniform randomness extraction via Kolmogorov extractors
We prove a strong Symmetry of Information relation for random strings (in the sense of Kolmogorov complexity) and establish tight bounds on the amount on nonuniformity that is nec...
Marius Zimand
CORR
2011
Springer
172views Education» more  CORR 2011»
12 years 12 months ago
Possibilities and impossibilities in Kolmogorov complexity extraction
Randomness extraction is the process of constructing a source of randomness of high quality from one or several sources of randomness of lower quality. The problem can be modeled ...
Marius Zimand
COCO
2004
Springer
121views Algorithms» more  COCO 2004»
13 years 10 months ago
Lower Bounds for Randomized and Quantum Query Complexity Using Kolmogorov Arguments
We prove a very general lower bound technique for quantum and randomized query complexity, that is easy to prove as well as to apply. To achieve this, we introduce the use of Kolm...
Sophie Laplante, Frédéric Magniez
MFCS
2004
Springer
13 years 10 months ago
Scaled Dimension and the Kolmogorov Complexity of Turing-Hard Sets
We study constructive and resource-bounded scaled dimension as an information content measure and obtain several results that parallel previous work on unscaled dimension. Scaled ...
John M. Hitchcock, María López-Vald&...